Phil Jackson wants Carmelo Anthony and LeBron James each to opt into their contracts and become free agents together in 2015 with a chance to pair them in New York.

Apparently, the Heat have a different idea. Though it seems farfetched, Miami officials have had internal discussions about luring Anthony to Miami this summer to turn the Big 3 into a Big 4, according to an ESPN.com report.

It would require James, Dwyane Wade and Chris Bosh to opt out of their contracts and take more significant pay cuts than they already have to fit a $15 million slot for Anthony, who also would have to take less than he could in a maximum deal that would start at about $22 million.

James reportedly would try to “recoup’’ his losses through business endorsements. The strategically timed leak of Miami’s potential interest could be related to Jackson’s recent push to have Anthony opt in and not become a free agent. The Post reported two weeks ago Anthony has until June 23 to make his decision.

Jackson said he will meet again with Anthony and his entourage shortly and could be by the weekend because the Knicks president is soon leaving for his son’s wedding in Turkey. Houston, Chicago, Dallas and the Lakers are also interested in Anthony.

If the Heat win a third straight title, it would seem an awkward maneuver for both sides. James, as is his custom, wouldn’t discuss his future during the NBA Finals.

“I don’t know how I’ll prioritize it this summer or in the future,” James said.

New Knicks coach Derek Fisher, during a radio interview on “The Michael Kay Show” after his Tuesday press conference, reiterated his desire for Anthony to return, saying he can be “a leader on a championship team.’’

“Melo is a great person and family guy,’’ Fisher said. “They have to make decisions and are sometimes independent of what’s best for everybody else. Phil, myself, Steve Mills are trying hard not to turn this into a ‘Carmelo, please stay’ type of process. At the same time we have no problem expressing we do want him to be part of this team. We feel we can win a championship with him as our core and centerpiece.’’